On the limit cycles of the Floquet differential equations
We provide sufficient conditions for the existence of limit cycles for the Floquet differential equations x˙(t) = Ax(t) + ε(B(t)x(t)+b(t)), where x(t) and b(t) are column vectors of length n, A and B(t) are n×n matrices, the components of b(t) and B(t) are T-periodic functions, the differential equa...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150741 |
| Acceso en línea: | https://ddd.uab.cat/record/150741 https://dx.doi.org/urn:doi:10.3934/dcdsb.2014.19.1129 |
| Access Level: | acceso abierto |
| Palabra clave: | Averaging theory Floquet differential equation Limit cycles Periodic solutions |
| Sumario: | We provide sufficient conditions for the existence of limit cycles for the Floquet differential equations x˙(t) = Ax(t) + ε(B(t)x(t)+b(t)), where x(t) and b(t) are column vectors of length n, A and B(t) are n×n matrices, the components of b(t) and B(t) are T-periodic functions, the differential equation x˙(t) = Ax(t) has a plane filled with T-periodic orbits, and ε is a small parameter. The proof of this result is based on averaging theory. |
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